Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247t |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
239010377200983 = 36 · 178 · 47 |
Discriminant |
Eigenvalues |
1 3- 4 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-652905,-202894902] |
[a1,a2,a3,a4,a6] |
Generators |
[-113690216634684802905240230:47883354361762744412786837:243880912459521997687000] |
Generators of the group modulo torsion |
j |
1749254553649/13583 |
j-invariant |
L |
13.39000180159 |
L(r)(E,1)/r! |
Ω |
0.16795279176431 |
Real period |
R |
39.862397227149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13583c2 7191f2 |
Quadratic twists by: -3 17 |